Unit 14 Vectors in Space Solved Notes Class 11 (PECTAA) Punjab Boards New Book 2024-25 PDF | Hamdard Science Academy

Best unit 14 vectors space solved notes class 11 punjab boards – 100% solved exercises with easy step-by-step solutions, graphs, diagrams & marking scheme from new book (PECTAA, Punjab Curriculum and Textbook Board, Ali Brothers, Ilmi Kitab Khana, Scholar Publications, Caravan Book House, Farhan Publishers).Perfect for Punjab boards exams 2026 – score 90+ marks!

Ideal for students, teachers, lecturers in renowned registered institutions from all 9 boards like Aitchison College Lahore (Lahore Board), Sadiq Public School Bahawalpur (Bahawalpur Board), Army Public Schools (Rawalpindi & Multan Boards), Beaconhouse Schools (Faisalabad & Gujranwala Boards), Forman Christian College Lahore (Lahore Board), Government College University Faisalabad (Faisalabad Board), Cadet College Hasan Abdal (Rawalpindi Board), Cadet College Petaro (near Multan Board), Cadet College Okara (Sahiwal Board), Cadet College Kohat (registered with Punjab boards), Cadet College Sargodha (Sargodha Board), Cadet College Jhang (Faisalabad Board), Cadet College Pasrur (Gujranwala Board), Cadet College Spinkai (DG Khan Board), Military College Jhelum (Rawalpindi Board), Garrison Cadet College Kohat, and many more.

Exercise 14.1 – Vector Operations (All Questions Solved) Exercise 14.1 Page 320 Full Solutions ↳ Exercise 14.1 Complete Solved PDF ↳ Q1(i) u + 2v + w = i -9j ↳ Q1(ii) v – 3w = 13i -2j -22k ↳ Q1(iii) |3v + w| = √273 ↳ Q2(i) v=3i-2j+6k, |v|=7, Dir Cos (3/7, -2/7, 6/7)

All Remaining Exercises + Review Exercise (100% Solved) ↳ Exercise 14.2 Dot Product ↳ Exercise 14.3 Cross Product ↳ Exercise 14.4 Scalar Triple Product ↳ Exercise 14.5 Vector Equations ↳ Exercise 14.6 Applications ↳ Review Exercise Unit 14 Full Solved

Bonus Resources ↳ Vectors Space Formulas Cheat Sheet PDF ↳ Top 30 Operations & Magnitude Shortcuts ↳ Vectors Space Video Series ↳ Unit 14 Past Papers Solved (2018-2025) ↳ Unit 13 Differentiation Notes

View Full 28-Page Original Solved PDF (No Download Needed)

External Links

Join Hamdard Science Academy Online Classes Today! Contact: sharjeelmuhammad27@gmail.com

Keywords: unit 14 vectors space solved notes class 11 punjab boards, new book math class 11 pctb, exercise 14.1 vector operations solved, magnitude direction cosines punjab, review exercise unit 14 solved, hamdard science academy notes, punjab boards 2026 preparation